151126133004 has 216 divisors, whose sum is σ = 496607778576. Its totient is φ = 38295936000.

The previous prime is 151126133003. The next prime is 151126133017. The reversal of 151126133004 is 400331621151.

It is a happy number.

151126133004 is a `hidden beast` number, since 1 + 5 + 1 + 12 + 613 + 30 + 0 + 4 = 666.

151126133004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151126133003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700584 + ... + 890544.

It is an arithmetic number, because the mean of its divisors is an integer number (2299110086).

Almost surely, 2^151126133004 is an apocalyptic number.

151126133004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151126133004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248303889288).

151126133004 is an abundant number, since it is smaller than the sum of its proper divisors (345481645572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151126133004 is a wasteful number, since it uses less digits than its factorization.

151126133004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190037 (or 190025 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 151126133004 its reverse (400331621151), we get a palindrome (551457754155).

The spelling of 151126133004 in words is "one hundred fifty-one billion, one hundred twenty-six million, one hundred thirty-three thousand, four".